Can a BCom fresher with finance specialisation get a good placement at b-schools like IIFT, IIM Trichy, and other new IIMs?

Since you are only concerned about placements, let me tell you that placement depends not on one but many factors. Some work experience, educational background, presence of mind, knowledge, and obviously luck. Based on your profile the pros and cons you will experience are as follows 

Pros

• You are already well-versed with the basics of the program which makes it easier to catch up initially.
• Some companies, mainly Sales, Marketing, and Finance, prefer freshers over work experience.
• You might have already figured out your interests because you are familiar with the program.

Cons

• Some companies, mainly in the operations and consulting sector, prefer people with work experience only.
• A little diversity won’t hurt

Lastly, since you are a fresher, before you join a B School, gather knowledge through books or certifications.